Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 50P
A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights y1and y2and the flow velocities V1and V2upstream and downstream from the gate, respectively. Take the width of the sluice gate (into the page) to be it’. Wall shear stresses along the channel walls may be ignored, and for simplicity, we assume steady, uniform flow at locations 1 and 2. Develop a relationship for the force FR acting on the sluice gate as a function of depths y1and y2, mass flow rate h, gravitational constant g, gate width w, and water density p.
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Chapter 6 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 6 - Express Newton’s first, second, and third laws.Ch. 6 - Express Newton’s second law of motion for rotating...Ch. 6 - Is momentum a vector? If so, in what direction...Ch. 6 - Express the conservation of momentum principle....Ch. 6 - Two firefighters are fighting a fire with...Ch. 6 - How do surface forces arise in the momentum...Ch. 6 - Explain the importance of the Reynolds transport...Ch. 6 - What is the importance of the momentum-flux...Ch. 6 - Write the momentum equation for steady...Ch. 6 - In the application of the momentum equation,...
Ch. 6 - A rocket in space (no friction or resistance to...Ch. 6 - Describe in terms of momentum and airflow how a...Ch. 6 - Does it take more, equal, or less power for a...Ch. 6 - In a given location, would a helicopter require...Ch. 6 - A horizontal water jet from a nozzle of constant...Ch. 6 - Describe body forces and surface forces, and...Ch. 6 - A constant-velocity horizontal water jet from a...Ch. 6 - A horizontal water jet of constant velocity V from...Ch. 6 - Water enters a 10-cm-diameter pipe steadily with a...Ch. 6 - A 2.5-cm-diameter horizontal water jet with a...Ch. 6 - A horizontal water jet of constant velocity V...Ch. 6 - A 90 elbow in a horizontal pipe is used to direct...Ch. 6 - Repeat Prob. 6-20 for the case of another...Ch. 6 - A horizontal water jet impinges against a vertical...Ch. 6 - A reducing elbow in a horizontal pipe is used to...Ch. 6 - Repeat Prob. 6-24 for the case of = 125°.Ch. 6 - Reconsider Prob. 627. If the mass of the cart is...Ch. 6 - A 100-ft3/s water jet is moving in the positive...Ch. 6 - Reconsider Prob. 6-26E. Using appropriate...Ch. 6 - A horizontal 5-cm-diameter water jet with a...Ch. 6 - A fan with 24-in-diameter blades moves 2000 cfm...Ch. 6 - A 3-in-diameter horizontal jet of water, with...Ch. 6 - Firefighters are holding a nozzle at the end of a...Ch. 6 - A 5-cm-diameter horizontal jet of water with a...Ch. 6 - A 3-in-diameter horizontal water jet having a...Ch. 6 - An unloaded helicopter of mass 12,000 kg hovers at...Ch. 6 - Water is flowing through a 10-cm-diameter water...Ch. 6 - The weight of a water tank open to the atmosphere...Ch. 6 - Commercially available large wind turbines have...Ch. 6 - Water enters a centrifugal pump axially at...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Consider the curved duct of Prob. 6-41, except...Ch. 6 - As a follow-up to Prob. 6-41, it turns out that...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Water of density =998.2kg/m3 flows through a...Ch. 6 - Water flowing in a horizontal 25-cm-diameter pipe...Ch. 6 - A sluice gate, which controls flow rate in a...Ch. 6 - How is the angular momentum equation obtained from...Ch. 6 - Prob. 52CPCh. 6 - Prob. 53CPCh. 6 - Prob. 54CPCh. 6 - Water is flowing through a 15-cm-diameter pipe...Ch. 6 - A large lawn sprinkler with two identical arms is...Ch. 6 - Prob. 57EPCh. 6 - Prob. 58PCh. 6 - The impeller of a centrifugal blower has a radius...Ch. 6 - Prob. 60PCh. 6 - Repeat Prob. 6-56 for a water flow rate of 60 L/s.Ch. 6 - Prob. 62PCh. 6 - Water enters the impeller of a centrifugal pump...Ch. 6 - A lawn sprinkler with three identical antis is...Ch. 6 - Prob. 66PCh. 6 - Water flowing steadily at a rate of 0.16 m3/s is...Ch. 6 - Repeat Prob. 6-66 by taking into consideration the...Ch. 6 - Prob. 70PCh. 6 - Water enters vertically and steadily at a rate of...Ch. 6 - Repeal Prob. 6-69 for the case of unequal anus-the...Ch. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - A spacecraft cruising in space at a constant...Ch. 6 - A 60-kg ice skater is standing on ice with ice...Ch. 6 - Prob. 80PCh. 6 - Water is flowing into and discharging from a pipe...Ch. 6 - Indiana Jones needs So ascend a 10-m-high...Ch. 6 - Prob. 83EPCh. 6 - Prob. 84PCh. 6 - A walnut with a mass of 50 g requires a force of...Ch. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Show that the force exerted by a liquid jet on a...Ch. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Water enters a two-armed lawn sprinkler along the...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Water flows steadily through a splitter as shown...Ch. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Consider water flow through a horizontal, short...Ch. 6 - Consider water flow through a horizontal. short...Ch. 6 - Prob. 103PCh. 6 - Prob. 104PCh. 6 - Prob. 105PCh. 6 - Prob. 106PCh. 6 - The velocity of wind at a wind turbine is measured...Ch. 6 - The ve1ocity of wind at a wind turbine is measured...Ch. 6 - Prob. 109PCh. 6 - Prob. 110PCh. 6 - Prob. 111PCh. 6 - Prob. 112PCh. 6 - Consider the impeller of a centrifugal pump with a...Ch. 6 - Prob. 114P
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